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Finding the Third Proportional to 331,253 and 714,958

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Solution

The third proportional to 331,253 and 714,958 is: 1,543,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,253 : 714,958 = 714,958 : x
  2. Step 2: Convert to fraction form
    331,253/714,958 = 714,958/x
  3. Step 3: Cross multiply
    331,253x = 714,958 × 714,958
  4. Step 4: Simplify right side
    331,253x = 511,164,941,764
  5. Step 5: Solve for x
    x = 511,164,941,764/331,253
  6. Step 6: Final answer
    x = 1,543,125.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.